COMEDK · Physics · 17. Electrostatics

Two protons are kept at a separation of \(40 Å F_{n}\) is the nuclear force and \(F_{\varepsilon}\) is the electrostatic force between them. Then,

A \(F_{n}< < F_{e}\)
B \(F_{n} \approx F_{e}\)
C \(F_{n} \gg>F_{e}\)
D \(F_{n}=F_{e}\)

Verified Solution

Answer & Solution

Correct Answer

(C) \(F_{n} \gg>F_{e}\)

Step-by-step Solution

Detailed explanation

Nuclear force \(F_{n}\) are attractive in nature. As in the given case, the two protons are kept at a separation of \(40 Å\) (short range), hence in this range, nuclear force \(F_{n}\) is much greater than the electrostatic force \(F_{e}\). i.e. \(F_{n} \gg F_{e}\)

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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